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1.

The area bounded by the curve `y = x^(4)`, X-axis and the lines x = 1, x = 5 isA. `3124/5 sq. units `B. `3126/5 sq. units`C. `624/5 sq.units`D. `626/5 sq. units`

Answer» Correct Answer - a
Discussion
2.

The area bounded by the curve `y = x^(3)`, X-axis and the lines x = 1, x = 3 isA. 5 sq. unitsB. 10 sq. unitsC. 20 sq. unitsD. 40 sq. units

Answer» Correct Answer - c
Discussion
3.

Find the area of the region bounde by the curve ` y = sqrt ( 16 - x ^(2)) ` , the X - axis and the lines ` x = 0 , x= 4 `.A. `pi sq.units`B. `4pi sq. units`C. `2pi sq. units`D. `8pi sq. units`

Answer» Correct Answer - b
Discussion
4.

The area bounded by the curve `xy = c^(2)`, X-axis and the lines x = c, x = 2c isA. log 2 sq. unitsB. c log 2 sq. unitsC. `c^(2)` log 2 sq. unitsD. 2c log 2 sq. units

Answer» Correct Answer - c
Discussion
5.

The area bounded by the curve `y = 2x - x^(2)` and the line y = - x isA. `3/2 sq. units`B. `9/2 sq. units`C. `4/3 sq. units`D. `19/6 sq. units`

Answer» Correct Answer - b
Discussion
6.

Find the area of the region bounded by the curve ` y = sin x ` between ` x = 0 and x= 2pi `.

Answer» Correct Answer - d
Discussion
7.

The area bounded by the curve `y = sin^(2) x, 0 le x le pi/2`, X axis and the line `x = pi/2` isA. `pi/4 sq. units`B. `pi/2 sq. units`C. `(3pi)/2 sq. units`D. `(3pi)/4 sq. units`

Answer» Correct Answer - a
Discussion
8.

The area bounded by the curve y = log x, X- axis and the ordinates x = 1, x = 2 isA. log 4 sq. unitsB. log 2 sq. unitsC. (log 4 - 1) sq. unitsD. (log 4 + 1 ) sq. units

Answer» Correct Answer - c
Discussion
9.

Find the area of the region bounded by the curve ` y = sinx `, the lines ` x = - ( pi ) /(2), x = ( pi ) /(2) ` and X- axis.A. 0 sq. unitsB. 1 sq. unitsC. `- 1 sq. units`D. 2 sq. units

Answer» Correct Answer - d
Discussion
10.

Find the area of the region bounded by the curve ` y = sin x ` between ` x = 0 and x= 2pi `.A. 2 sq. unitsB. 4 sq. unitsC. 8 sq. unitsD. 16 sq. units

Answer» Correct Answer - b
Discussion
11.

Find the area of the region bounded by the curve ` y = x ^ 2 ` and the line ` y = 4`.A. `16/3 sq. units`B. `32/3 sq. units`C. `(16 sqrt 2)/3 sq. units`D. `(32 sqrt 2)/3 sq. units`

Answer» Correct Answer - b
Discussion
12.

Find the area enclosed by the circle `x^(2)+y^(2)=25`A. `50pi sq. units`B. `25pi sq. units`C. `5pi sq. units`D. `10pi sq. units`

Answer» Correct Answer - b
Discussion
13.

Examples: Find the area bounded by the parabola `y^2 = 4ax` and its latus rectum.A. `(4a^(2))/3 sq. units`B. `(8a^(2))/3 sq. units`C. `(4a sqrt a)/3 sq. units`D. `(8a sqrt a)/3 sq. units`

Answer» Correct Answer - b
Discussion